Option 2 sounds like the best plan to me :) The other issue with seats like Joie 360 is that age 4 is based on an average/50th centile child - if your child is bigger than that then the seat may not last them until age 4, which is fine if you're happy to move to a high backed booster seat but annoying if you're not, as it means you end up needing to buy another seat up to 25kg, and you could have just done that straight after the baby seat to start off with.
There are plenty of great infant seats which can be fitted with and without a base. You normally buy the base separately and it's not necessary to have one at all if you don't need or want it. A lot of infant seats are also approved for use on a plane which is incredibly handy although means you need to buy your baby their own seat. I would actually say that the ability to fit onto a buggy is very useful as well for travelling, even if you don't intend to use this feature day to day.
The second stage/toddler seats are such a pain to use while travelling that I would prioritise getting the biggest/longest lasting infant seat you can possibly find, so I'd look at the following models:
Maxi Cosi Cabriofix / Citi
Joie Juva, any version of Joie Gemm
Cybex Aton M or Cloud Z (although these can be heavy seats)
Britax Baby-Safe / Baby-Safe 2 i-size / Baby-Safe i-Sense
The Maxi Cosi seats, Cybex seats, Joie Gemm seats and Baby-Safe i-Sense all go onto the "universal" type or Maxi Cosi type pram adapters. Joie Juva is only compatible with the 2 cheaper Joie strollers (which might be fine for travelling) and the first two Britax infant carriers are only compatible with Britax pram adapters, which exist for some popular buggy models but not as many as the Maxi Cosi type.
You may also want to look at the Doona car seat which is meant to be absolutely brilliant for airport travel as it has built in wheels. Long lasting, so ticks that box. But a heavy seat for everyday use, and expensive particularly compared to some of these options + a set of buggy adapters.
Even if you switch to a toddler seat at home by about 9/12 months, most babies will fit into the above infant seats until they are around 2 years old which is great for travel purposes.