OP i think you need to broaden this slightly, as I doubt its just about suncream. It sounds like your skin needs a bit of tlc and you've panicked and put loads of thick spf on it - if you don't deal with the skin texture underneath then all that's going to do is sit on top of your skin and make it greasier/drier whatever.
I say this as someone who only in the last couple of years actually started looking after my skin properly. I'm a bit younger (38), but the difference is amazing. Spf is only one step in that process.
It doesn't have to cost a fortune.
I recommend - two cleansers. One light wash for morning (Cerave moisturising face wash is lovely) and then a proper oil cleanser for evening to remove dirt, make up and spf. I use the apricot one from beauty pie but there are lots of options out there. Use a warm flannel/face cloth with the oil cleanser to really remove everything.
Then you need to think about active products to start improving your skin texture. Like a PP I use Dermatica (i use the super strength 0.1 % tretinoin and its amazing but not for the faint hearted, you need to work your way up!)
Maybe to start buy a glycolic acid like pixie glow (inexpensive) and use this every other morning to start resurfacing your skin. See how you get on then maybe look at switching it up with a very light retinol, which also improves skin texture.
Put a basic moisturiser on top - cerave moisturising cream is amazing for my combination skin, and is quite matte. Wont make you shiny. You can use morning and night and is very gentle and cost effective.
Skip the primer. Either use one of the spf recommendations here, or look for a tinted moisturiser with high spf if you want a bit of coverage. I love Origins Ginzing which is spf 40.
Start slow, go back to basics, learn about actives (acids, retinol, vitamin c) and gradually introduce one or two into your regime.
The actives do the work - the moisturiser and spf just sit on top.
Also a good oil cleanser is a god send!