Can I salvage my grass?

[Froggy12]

Hi, hoping for some advice on my current mud pit/lawn. I’m really not garden savvy so no idea what to do about it. we have a small rectangle garden with a path running up the middle, trampoline on one side with large mud pit underneath as grass has been shaded out and there is no drainage so there is often flooding when it rains heavily. The other side of the path has a cherry tree with drier mud patch underneath and the rest grass/daisies with various mud patches scattered across it. It does tend to dry out in the summer and the mud everywhere except under the trampoline bakes into rock solid cement so no grass grows though.
The house is HA and I have a really limited budget but I would really like it to look better and for my kids not to be constantly covered in mud. If there any point trying to save the grass? Is there any types of grass that can grow under a trampoline and cope with occasional flooding or should I just replace it with gravel on that side? If I reseed the grass how long would I have to keep the kids off it to leg it establish?
And advice appreciated!

I'd stick bark under the trampoline. Look at Greenthumb, I pay £6 a month and they come 4 times a year to spray and feed it. Was so grotty when we moved in but looks great throughout the summers now ever with two small boys doing their best to trash it. You can buy the stuff yourself but as they buy in bulk and don't waste it you really don't pay more to get it done.

Under the trampoline - nope, grass won't grow there. I second the pp's suggestion of bark.

With the rest of the bare patches, buy some cheap grass seed from somewhere like Wilko, break up the surface of the soil a little bit with a trowel or garden fork, sprinkle the grass seed on and hope for the best. Keep off those areas as much as possible, and you will need to water if the ground looks dry. If you do it soon, then the seed should germinate in a few weeks' time.

No, you won't get grass under the trampoline or under the cherry tree. Rather than gravel, which is a bit hard on knees, I agree, go with bark.

Thank all for the advice, I’m worried about bark getting very wet down there. As I said it floods a bit and is right next to the house so really don’t like it being damp. I was wondering if gravel would help it drain a bit better when it rains.