If it's just paint then you'd have to follow stadry's advice on grinding and trowel the patch of the birdbath. I personally haven't had success with spot patches with freezing because you can't feather it out thin enough with the potmarks/broom finish of outdoor concrete (non-power trowel finishes) and the edges bust off especially with high foot traffic. If it's the entire slab then I find more success. A paint cover on the edge of a patch without freezing I'm just guessing might be enough protection.
It looks like acrylic coat though from the cake frosting down by the pavers. You don't have to remove it then, after power washing you can just add the acrylic leveller (using that word to group "resurfacer," "binder," and "patch" together, but depending on depth and which coat you'll choose one or two). Some products have sand others you have to add. It's real soupy, you can use a stiff driveway squeegee to spread it, maybe even tape protect a long level and use that. The topcoats would be a resurfacer to feather the patch out more and fill inconsistencies as needed.
Home Dep does sell some products for DIY, I know Menardz here in midwest you can get striping paint too:
Binder
resurfacer
The cracks just depends on how wide, can only see the one from the pics. If they are just thin shrinkage cracks, some of the acrylic levellers are rated for those. Wider cracks may require an acrylic elastomeric or even troweled patch depending on width. Any grinding of the cracks would also depend on if the edges are chipping. Then after fill you would coat these areas as you did the birdbath.
These products are not pigmented with color which is why they would recast the entire surface after repairs. As far as an acrylic clearcoat I haven't seen those used on the jobs I was privy to, so don't know how they hold up.