In terms of pricing, no there isn't much difference because they both remain as close as possible to 1 USD in price while in terms of who operates and owns them, there is a difference as big as day and night. BUSD is being controlled by Paxos Trust Company in partnership with Binance while USDT is being controlled and managed by Tether Limited.

Being a trader at Binance, I actually recently started to prefer BUSD over USDT because it doesn't make sense not to trust a coin that is being issued by the exchange Binance itself.

I don't have any problems with USDT either and at times I do buy it, it's just random because the value is the same but if I am consciously selling any coin for dollars, it's mostly BUSD.