1BTC for unverified users is good enough to use comp[are to binance that you are only allowed with 0.06BTC. The majority I guess allows 1BTC except for binance.
FYI, you can't trade anymore on Binance if you are an unverified account holder, all you can do is withdrawal which is even capped at 0.06
BTC so this is not what OP is looking for.
FTX is a good choice which is getting more reputation now due to the KYC change of Binance so OP can go with that.