Frost Dwarves have learned and adapted to the harsh life of the high peaks. As such your Constitution score is increased by 2 and you gain proficiency in the Survival skill.

Similar to other Dwarves, Frost Dwarves mature at the same rate as humans. However, they're considered youthful until 50 and live to around 350 years of age.

As Medium Humanoids, Frost Dwarves are marginally larger than the other Dwarven races, standing between 4ft 4in and 5ft 6in tall, weighing in around 170lb.

Like your cousin races, your base walking speed is 25 feet.

However, Frost Dwarves abandoned using Heavy Armor early on as the thick metal armor often made the cold cling and sink into their bones, consequently having lost the ability to remain unslowed when wearing it.

Being raised where ice is common has given you a quick reaction time and made you quick on your feet.

Your Dexterity Score is increased by 1 and you have advantage on saving throws against anything which would cause you to become prone.

You have resistance to cold damage and advantage on saving throws against it.

Your weapon proficiencies include battleaxes, handaxes, light hammers, and warhammers.

Your armor proficiencies include light and medium armor.

Frost (or Peaks) Dwarves are made apprentices in their younger years to instill patience and perseverance. Choose a proficiency with a musical instrument or an artisan's tool.

Long exposure to the elements has warped your people from what they were in the sheltered below. You may call upon the Fates to cast the Hoarfrost's Claim cantrip.

Hoarfrost's Claim: Calling upon the Fates, you cause exterior moisture (water, blood, sweat, fog, steam, etc) to violently flash-freeze on one target you see within 60 feet. The target takes 1d8 cold damage. The spell’s damage increases by 1d8 when you reach 5th level (2d8), 11th level (3d8), and 17th level (4d8).

Hoarfrost's Claim - Spells - Homebrew - D&D Beyond (dndbeyond.com)

You can speak, read, and write Common and Dwarvish.