I think modules are a brilliant and useful way to grow most vegetables and other plants, whether one sows directly into the modules or pricks out into them from a seed tray. I grow a lot of different vegetables successionally in my allotment and clients’ gardens and can grow so much more (and save time) by having the next plants ready for planting immediately after clearing the previous crop. There are of course the advantages of being able to plant out just the healthy plants at a size where they are more likely to survive slug and other pest attack and one can keep some to fill in gaps should any of the plants die. Planting is extremely easy using a dibber, there is the advantage too of being able to space the plants properly for ease of picking and healthy growth.
If the modules are filled properly with compost so that they have a firm base to grow in and therefore a sturdy rootball, there are rarely problems with damage removing the plants. I have never had any problems with watering or nutrition.
There are often different sized module trays available in the bargain bins at garden centres, I got some for 20p.