Simple turn flight directors off, select climb thrust and pull the nose up to an attitude to maintain 250kt in the climb aircraft will maintain and trim for you.
Simples.
Having flown both Boeing and Airbus then give me the Airbus everytime. Yes it's slightly more tricky in a crosswind but once you get the technique sorted it's fine. I see some people saying the Airbus is complicated when things go wrong, I found the Boeing more difficult because I always thought the design of the 737 flight deck was just one big mess and hated the QRH. However it can be difficult for someone who has flown as certain type of aircraft for 20 years and then suddenly have to change to a new type that has a different way of doing things.
It depends what you are use to, go with an open mind and I'm sure you will enjoy it. It will take a good year to start to feel comfortable, I have been on the Airbus now for 5 years and how I operate it is second nature to me and feels natural and I know what the aircraft is doing.
Everyone has their own opinion. Both companies make very fine aircraft.