I've recently started dating a girl and we're an item, and are happy hanging out together. We have strong feelings for each other.
She is somewhat overweight (not hugely so but not at a healthy weight) and I am a little overweight. Although I do some exercise, usually playing squash and walking, I could still do with working out at the gym more. I would probably want to do mostly weight training, but I really struggle to motivate myself to go and let my gym membership lapse as a result.
I think it would hugely benefit both of us to go to the gym at least twice a week and I think a great solution would be for her to be my gym buddy. The trouble is I know she is extremely insecure about her weight to the point where I have had to convince her on multiple occasions that I am attracted to her because she assumed I am not, owing to her being overweight.
I think it would be good for both me and her to go to the gym regularly and I actually think if she got into it it would increase her self-esteem a lot and reduce the insecurity, but I fear that asking her to be my gym buddy would be interpreted by her as "I find you fat and ugly" which is not true at all. I simply think it is a good thing in general to keep fit. At the moment her lifestyle is quite sedentary.
So how can I go about asking her to be my gym buddy without hurting her feelings, and with a decent chance she'll say yes? I'd like to sign us both up together at the same time for a nice gym and arrange to go maybe 2 days a week to work out for an hour each time.