In a nut shell - should I stay away from using too many wallets or is that the norm?
There is no "norm", one of the great things about Bitcoin is that you can do whatever suits you. I use Bitcoin Core, Electrum, cold storage, and different mobile wallets. I even have an encrypted paper wallet with some funds in my wallet. If I ever end up in a place that accepts Bitcoin, I can pay with Bitcoin.
For altcoins it's an even bigger collection of different wallets.
My system slowly evolves to fit my needs, and it changes when the Bitcoin price goes up. I used to easily trust my phone with 100 m
BTC when it was worth $30. That same amount is worth $800 now, which is more than I'm willing to risk on my phone.
Android phones have a lot vulnerabilities, therefore you should be only storing small amounts on mobile wallets.
If you ever want to receive large amounts on your mobile, you could import one of your secure cold storage addresses read-only into for instance your Android Mycelium wallet.