Getting fit for fatherhood

I’m 40 and just about to become a dad for the first time. I’m told that I need to work on my core and my lower back strength because there’s going to be a lot of lifting and a lot of bending over. I have a glass back these days so this prospect scares me a bit! 

After poo-pooing it for a long time, I’ve signed up to my first pilates class at my local gym. I’m expecting to be terrible at it but hoping it gives me a much stronger core.

I’ve upped my speed work on the treadmills and trying to run faster instead of just steady-state 30 mins runs and I’m definitely feeling the benefits of extra lung capacity when I’m breathing in and out.

I’m still doing the same upper body workouts on the machines. 85kg on the chest press, 70kg on the pull-down, and 90kg on the seated row. 

I’ve added in some hamstring exercises as I think my weak posterior chain (hams and glutes) is a major factor in my weak lower back. I need to add in some leg presses to strengthen my glutes as well.

Any recommendations for getting fit for fatherhood?