SSD does sound good, but they are pretty expensive so often a lot smaller (less GB) than an equivalent hard drive. This can become a bit of a pain - if for example you are someone with lots of pictures/ films/ music on your laptop you can quickly run out of memory space.
Personally I would find 14" a bit too small - if you're going to be spending a fair amount of time using it you may want a larger screen. But as you say, it would be convenient to carry around.
If I were you, I would go into the store and try out as many different laptops as possible. That will give you an idea of how fast they are, how nice the screen is, if they are light enough to fit in your bag, etc.
I had a decent laptop (HP something or other, usually a pretty expensive business one but got it second hand off Dad's work) for the first few years at uni. It weighed an absolute tonne though and the battery was dying, so for my year abroad I took my little 6 year old Samsung netbook - worst decision EVER, everything broke on it. Half way though the year got a really cheap laptop with SSD, but that also packed in within 6 months (some idiot had put Windows 10 on it and it just couldn't cope). Eventually this summer I decided that I really needed a decent laptop and got myself a MacBook Pro (the slightly older version - not the one they've just released). Absolutely love it, yes it was very expensive but it JUST WORKS rather than spending half an hour to open anything. Never had any issues with programs crashing, it's great.