Okay, let's see... I'd say number one issues are light and humidity... Maybe space, too. Having to deal with typical indoor pests like scale, mealy bugs, spidermites, whiteflies and aphids (maybe thrips, too depending on where you live), as well as fungus gnats, is a given.
If you travel, and particularly if you are new at this, choosing to start with relatively easy to care for and drought tolerant plants is probably best.
I don't want to discuss how often and long you are away on the open forum, but we could generalize and discuss vacation and away care depending on length of time involved -- Some plants can be managed by growing in self watering pots, and for others, you probably want to stick with plants that only need to be watered once a week or even less frequently. And sometimes, you just have to hire a plant sitter.
Why don't you tell us what kind of plants you already have, and what are on your wishlist to add.