Soft or more euphemistic way of saying "suffer"

Solution 1:

Struggle with
Agonise over
Contend with
Deal with
Trouble over

Solution 2:

I particularly like deal with, proposed by @MDMcDMD. Here's a way to use it:

My mother-in-law has her arthritis to deal with.

Alternatively:

We all have our troubles

is a nice way of complaining.

Here's a nice made-up noun my German spouse invented once:

... the tougheties of life

Solution 3:

How about overcome challenges?