Here's some DCs for you to test against:
Climb Example Surface or Activity
DC
0 A slope too steep to walk up, or a knotted rope with a wall to brace against.
5 A rope with a wall to brace against, or a knotted rope, or a rope affected by the rope trick spell.
10 A surface with ledges to hold on to and stand on, such as a very rough wall or a ship’s rigging.
Long Jump
5 feet DC5
10 feet DC10
High Jump
1 foot DC4
2 feet DC8
3 feet DC12
Swim (yeah, I'd avoid water.)
Calm water 10
Rough water 15
Since you're a Gnome you can carry 4.5lbs to a light load,
and can only carry a max of 15lbs. Which means you can barely lift 30lbs off the ground. You could just drag your equipment everywhere, letting you carry 75lbs in this fashion. I wouldn't recommend this if you're in anything remotely resembling a hurry.
That's Damnned infirm. I'm pretty sure you can peel the orange, but it might be another story actually lifting it too your mouth...