The fruit I puree are: pears, apples, blueberries, plums, bananas (mash with fork)
The veggies I puree are: sweet potatoes, carrots, squash, peas
I introduced chicken today for the first time
You can offer any of these foods as finger foods instead of puree.
Wedges of pear, apple
grated pear, apple or carrot
steamed pear and apple wedges, steamed carrot batons
baked pear and apple wedges
roasted batons (or even whole if they are small) carrots
roasted squash or sweet potato wedges/batons
peas and blueberries can be offered whole to help develop both the pincer grip skill (and all finger foods help with speech development)
plums, at this age I think I halved them and removed the pip but it won't have bee very much later I was offering them whole, fresh and just showing him which part you eat, which you discard (and with other foods too)
bananas offer whole
even chicken you can offer large chunks or hunks so LO can pick it up and have a good grip in their fist whilst they gnaw and chew on the other end, boiled chicken breast is soft, roast chicken, or stir fried strips
dinner foods which don't fit or are much harder to fit with the allergies you listed are things like pasta, bread, pies because you need to get wheat/gluten free but dinners don't need to be difficult. Any fish or meat alongside potato or sweet potato and veg provides a full meal and pretty much unlimited variety and combinations.
I would introduce a wider variety of vegetables but I don't know where you are, what is available for you or what you and your DH eat for family meals so it's hard to recommend... green beans, kidney beans, chick peas, asparagus, cabbage, capsicum, broccoli, cauliflower, courgette, aubergine...any vegetable fits with the allergies listed. Any fish or meat, just don't cook with the known allergens.
So, a dinner might be baked salmon with boiled new potatoes in mint sauce, green beans, carrots and peas
or
slow roast lamb with roasted veg (like chips/fries - potato, sweet potato, turnip, carrot) and corn on the cob
or
tuna steak with butter bean mash and asparagus
or
meat and bean stew with mixed veg - aubergine, courgette, red pepper, onion, carrot
(mine has always loved stew but I pick out the chunks of veg and put them in separate piles on his plate so he can see what he has clearly, he doesn’t much like the food 'mixed up')
I do a moroccan lamb in the slow cooker which makes the meat really soft and just melt in the mouth, yummy too, DS and DP love it and serve as mentioned above with veg fries and corn, I also make a coleslaw of red cabbage, red onion and grated carrot with mayo - you wouldn’t be able to give your LO the mayo but could give a portion of plain grated carrot instead, that's what I used to do before my DS would eat coleslaw.