You do have to analyse food a little bit more on a pump, but only marginally more than carb counting on MDI. But there is a pay of, instead of rounding your carb intake up or down to the nearest unit, you just tell the pump what you are actually eating and in will adjust your doasge as required. So say your insulin to carb ratio is currently 1 unit for every 12gs of carbs, you might currently be carb counting by guesstimating how many multiple of 12 there are in what you're eating because you have a pen that can only go up or down by 1 unit. On a pump you can still get away with guesstimating a little bit, but if you know exactly how many grams of carbs you are having the pump can adjust your dosage by 0.025 units so the food analysis gets rewarded with a much more accurate bolus dose.
I think a pump does give you more freedom. I find it a much more discreet, easy, handy way to bolus. Setting the basal rate does take work, but again gives you more freedom because the basal rate can be tailored to give you what you need at different times of day. So if you have dawn phenomenon, instead of getting what aims to be a flat action basal on mdi so you either hypo in the night or peak in the morning, your pump basal rate can increase exactly when you need it to to deal with the dawn phenomenon. And crucially you can increase or decrease your basal rate to give you freedom to adjust your insulin to deal with life, so if you have a really stressful meeting at work you can run an increased temporary basal rate for the meeting or if you're going to the gym you can run a decreased temporary basal rate. Much more freedom and flexibility.
The best thing to do is ask your diabetic clinic 1) whether they would support you going for a pump and 2) if so, what pumps they offer. Because the best pumps to look are the ones that are actually going to be available to you.
