ESPN's fantasy hockey help describes no export. Its basketball and football guides describe, under the League tab, a Rosters page that shows each team's lineup in the league. We didn't find the hockey version of that guide.

The ESPN Rosters page

On the ESPN Fantasy website, open your league, then the League tab. If you see Rosters there, open that page: it gathers the lineups of every team.
Select each team's table, copy it and paste it into Excel or Google Sheets.
Arrange the columns: the ESPN team name becomes pooler. If the player's name, NHL team and position arrive in a single cell, split them (in Google Sheets, Data, then Split text to columns).

If your league has no Rosters page, copy each team's lineup from its own page.

The Estrade template

Estrade reads a five-column table, one row per owned player, with this header and in this order:

pooler,courriel,joueur,equipe_lnh,position

pooler: the team name, 30 characters at most, the same on all its rows.
courriel: the email address, optional, one per team. Without an email, you manage the team yourself.
joueur: the player's first and last name. Accents and capitals don't matter.
equipe_lnh: the NHL team, as an abbreviation (MTL) or the club name (Canadiens). It tells apart players with the same name. A team Estrade doesn't recognize gives a warning, not an error.
position: C, LW, RW, D or G. AG, AD, L, R, F and A are also read, and the cell can be left empty. EQ means an NHL team, if your lineup has a team slot: Estrade then reads the team in equipe_lnh.

No other columns: delete the rest. Save as CSV (commas, semicolons or tabs), or copy the table from the spreadsheet and paste it into Estrade.

The import in Estrade

In My pools, click Start a pool, choose Already-drafted pool and create the pool. You land on the import screen.
In Pool settings, copy the rules of your old pool: lineup, cap, scoring. The import screen opens again from the pool menu, Import a pool in progress.
Choose your file under CSV file, or paste your table under Or paste your table and click Read the table.
Under To fix, each problem gives its row: choose the right player, search for them, or click Remove the row. Nothing is saved while a problem remains.
Enter the points already earned, then click Import the pool. The Season Pass is paid before this step. Each pooler with an email in the file gets an invitation tied to their team. The import can't be undone.

A player missing from the NHL catalogue, like an AHL prospect, can't be imported: remove their row. The details of each screen are in the guide, under import a pool in progress.

Points already earned

Estrade doesn't recalculate the season: games count from the day of the import. In those same guides, the standings are on the Standings page.

In a points pool, enter under Starting points each team's total, up to yesterday's games, with a Reason of 3 to 140 characters. Everyone sees it in the adjustment log.
In head-to-head, enter under Starting record each team's wins, losses and ties, up to the Sunday before the week of the import, with the same Reason. Points scored in earlier weeks are not carried over.

Entering it by hand

If nothing copies cleanly, start from the blank template that Download the template gives on the import screen. Type one row per player: the first and last name are enough. The NHL team and the position can stay empty; Estrade then asks you to choose between players with the same name.

The other platforms also have their page on moving a pool.