Yes, you can. The boots state that you use them exactly as if you had used the spell teleportation. That means you gain all effects of the spell, exactly as if you had cast it on yourself, including the ability to take people with you.
As for how many people you can take, the spell allows for one medium creature (or lower) per three caster levels. If we check the boots we see they have a caster level of 9th, and so you can take 3 medium creatures or less with you, allowing you to take the entire party of 4 medium creatures. However, beware of encumbrance limits when hauling back treasure from a dungeon. You will probably want Heward's Handy Haversacks, Portable Holes, and similar carrying aids, to make sure you are not heavily encumbered.
The RAW can get a bit weird for teleporting.
If we strictly follow the RAW for misty step, you would be naked after teleporting since it just says "You".
You teleport up to 30 feet to an unoccupied space that you can see.
Although hilarious, it would get old pretty fast. This is why most people interpret "You" as you and all your gear. If you had a treasure chest you would have to stuff everything you can carry in your pockets and leave the rest.
Then there are spells like teleport:
This spell instantly transports [...] a single object that you can see within range, to a destination you select. If you target an object, it must be able to fit entirely inside a 10-foot cube
This means that you can teleport with all your gear and you could bring the treasure chest as long as it fits the 10-foot cube, even if it exceeds your carrying capacity. Unfortunately, you can take only the chest and not the treasure since it states that it must be a single object.
But there are also spells like thunder step (XGtE, p. 168):
You can bring along objects as long as their weight doesn’t exceed what you can carry.
This would mean that you get to bring your gear with you and also the treasure chest with the treasure as long as you can carry it.
My point is: it differs from spell to spell. You should always read the spell description before teleporting and accidentally leaving your treasure behind. And of course, talk to your DM to make sure "you" means you and your gear, or your party might get stranded in the Elemental Plane of Fire, naked in front of a fire giant, if you cast plane shift.
Best Answer
I couldn't find an exception
I recently started Night of the Gray Death as a high-level Improved Familiar Attunement Wizard with the Familiar Master archetype, so I was hoping to find some allowance for me to bring my little best friend along when I go wizard sprinting (aka Dimension Door). I could find no exception, nor even item, that reliably allowed your Familiar to hitch a ride with you.
Other options
Dimensional Knots, for 60g each, allow you to bring one adjacent creature with you when using Dimension Door at 4th level (giving them Stunned 1).
The Recall Familiar Master Ability allows you to spend a full turn, once per day, to bring your Familiar to you after you've teleported.
The Independent Familiar ability allows it to continue traveling toward you to reunite without receiving Commands.
Improved Familiar Attunement Wizards can (probably, ask your GM) use Call Bonded Item to summon their Familiar for one action.