There are a few ways to do this, but the best one is to get a mount. Even a basic riding horse will allow you to move 120 ft in a round without using any actions.

Other options include:

• Getting a weapon with longer range. A longbow would allow you to attack enemies 150 ft away, or 600 with disadvantage. It doesn't gain the benefits of your Rage, but it will maintain it.
• A large number of buff spells increase your speed in some way, but this requires an allied spellcaster.
• Damaging yourself, as pointed out by Jeor Mattan. Unfortunately, this would take your action. A more efficient method, and yet stupider, would be to use alchemist's fire to set yourself on fire. This would only take 1 action and would keep you raging until the full minute was up or you used your action to put out the fire. Of course, it does 1d4 damage per turn. The problems with this method should be obvious.
• The Mobile feat, which increases your movespeed by 10 ft. Heavily not recommended.

With regards to simple enchantments and other disables, the Path of the Berserker is the option designed to fix this type of problem. Given that you've chosen the Path of the Totem Warrior, your options are severely limited. There are a number of ways to gain advantage on saving throws, but they all rely on allies or require a lot more multiclass levels than is really worthwhile.

A barbarian/bard can, while in a rage, start and continue a bardic performance—maybe

The bard's bardic performances say nothing about concentrating and only a handful mandate Perform skill checks (countersong, distraction, et al.), making the others possibly usable while in a rage. However, performances do require using some kind of action to start and, often, to maintain. So while it's totally legit to get really angry and, for example, climb a mountain or swim a channel, because bardic performances use actions, starting or maintaining them while in a rage might run afoul of this part of the rage description:

While in rage, a barbarian cannot use any Charisma-, Dexterity-, or Intelligence-based skills (except Acrobatics, Fly, Intimidate, and Ride) or any ability that requires patience or concentration.

Emphasis mine. So while the barbarian's rage itself doesn't explicitly forbid, for example, massive shredding on your lute or belting out "99 Bottles of Dwarven Ale on the Wall" while simultaneously furiously headbutting orcs to death, the GM can simply say No, starting and maintaining a bardic performance requires patience that's impossible while raging.

This GM would allow a character in a rage to start or continue an appropriate bardic performance

The player should be aware that it's a tough row to hoe, though. In addition to other issues like multiple ability score dependency,¹ the huge—perhaps, I dare say, insurmountable—problem with playing, for example, a barbarian 3/bard 4 is that such a character will each day have only a total of 11 rounds of fight in him (and that's generously assuming a Con 16 and Cha 16).² Level 7 is actually past the point when the wizard can cast an extended rope trick and everybody can rest in the extradimensional space in relative safety, so being good for only two fights per day (unless the group's really efficient) is fine at that point, but actually playing this character to that point would be a constant and—for me, anyway,—unpleasant war with an ever-ticking clock.

¹ Such a character needs high Str, Con, and Cha, would like a high Dex and Int, and will regret a low Wis.
² Yes, I'd put the extra level in bard. That means 2nd-level bard spells.