Last month i cracked 3 offers from the UK sitting in Madrid, Spain as an Indian passport holder, all of them sponsoring a skilled worker visa to the UK. The offer that I accepted (from Intuit) is 2.5x the package I currently have in my Amazon job in Spain (with perceivably better WLB). Factoring the high taxes and cost of living of London, it will still save much more for me to enjoy, and be at a promoted position obviously. I understand it's tough in this market but not impossible to get a better job in the UK, given that you are already in a good position in India.\
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I had the same dilemma to wait for something better (maybe better work, better work life balance, better brand, something else?) or just take some offer from the three for the sake of moving because i was uncomfortable of the language issues i have in Spain and the sheer lack of Indian or Muslim community which i like to be connected with (which is very abundant in the UK). So i was in a time constraint, specially because at this time in career I should move to promoted position either within my company or externally. Externally seemed faster to me.\
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My hack to get interviews- Have a catchy linkedin profile, make yourself available to work immediately there, put your location as London (because it has most tech jobs), respond to messages of all recruiters in your inbox even if you have gotten their message years ago. This is to hack the Linkedin algorithm to rank you higher for more recruiters to message you. Once a recruiter reaches out to you for a UK based opportunity, ask if they sponsor visa as you are willing to relocate. Those who do, talk to them and convince how great you are to be considered. Give interviews and choose between offers. This hack helps to understand who are actively hiring in the location who are also interested in your profile. In best case, you get a chance to talk to an actual human instead of an algorithm throwing your resume to trash. In worst case, they inform they don't sponsor visa and you just say "No problem, thanks!". Just make sure to be transparent about your status of being in India in the initial message itself/in your resume.\
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Fact number 1- It is MUCH easier to switch jobs while on a worker visa WHILE you are in the UK and MUCH tougher to get to the UK on a visa sponsored job. So the suggestion I got from everyone i spoke in the UK is to take whatever job you get in the UK just for the sake of coming and then switch as possible.\
Caveat- Some employers have a condition to payback the huge amount they are spending on your visa if you resign within a year, or maybe just payback NHS surcharge if you leave within 4 years etc. I faced this kind of commitment clause hence I took sometime to accept the offer. In this case, please understand that in our industry it is possible to convince a new employer to help repay such commitments in order for the new employer to have you join them. So this shouldn't deter you from accepting the offer.\
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Fact number 2- London tech scene is vast and there are still jobs I see. Which means that even if your current offer pays you less, you can take a chance to come and have another employer notice you easily within the UK because just switching employer on a skilled worker visa is much easier than applying for one initially.\
Given this fact, if the visa offered to you is not tier 2 skilled worker visa, then I wouldn't take the job (assuming you are not in a time constraint) and only take one which offers such a visa as others can transfer it while you are in the UK and you don't have to come back to India and find a job from scratch. I am not sure how the visa you are offered currently works for your residency criteria for Indefinite Leave to Remain in the UK, that would be an important consideration since you won't want to struggle finding visa sponsored jobs after a few years of staying in the UK.\
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As for personal decision making, if you are working a remote job and staying in tier 2 or tier 3 city in India, then for closeness to nature or social values, it might be good, but for kids education and exposure, UK would be highly valuable in front of that. This is my personal opinion, I would have chosen the UK in that case. Rahul gave some important points about the UK too. However much i would earn in India more than UK, I cannot buy good weather, non polluted environment, better infrastructure as the UK for me (maybe even discrimination or cultural ideologies issues). So my choice is pretty clear personally.\
Lastly, if a job would have given me the ability to just survive with family, without saving much (or maybe just enough to payback any commitment while changing jobs), I wouldn't bother and just accept that job because you said, you are anyways living without much savings even in India at the moment.\
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Final tip: Since you don't have much savings, make sure to negotiate for a relocation bonus.\
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TL;DR\
Put yourself in London on Linkedin, keep messaging/responding to recruiters for visa sponsored jobs, take only skilled worker visa job, reach UK then switch to something better as possible.