I manage to remove the items that I don't want from the Customer Account Dashboard Links, following this [answer][1], 

       <ul>
            <?php $_links = $this->getLinks(); ?>
            <?php $_index = 1; ?>
            <?php $_count = count($_links); /* Add or Remove Account Left Navigation Links Here -*/
                //unset($_links['account']); /* Account Info */     
                //unset($_links['account_edit']); /* Account Info */            
                unset($_links['tags']); /* My Tags */
                unset($_links['invitations']); /* My Invitations */
                //unset($_links['reviews']);  /* Reviews */
                //unset($_links['wishlist']); /* Wishlist */
                //unset($_links['newsletter']); /* Newsletter */
                //unset($_links['orders']); /* My Orders */
                unset($_links['address_book']); /* Address */
                unset($_links['enterprise_customerbalance']); /* Store Credit */
                unset($_links['OAuth Customer Tokens']); /* My Applications */
                unset($_links['enterprise_reward']); /* Reward Points */
                unset($_links['giftregistry']); /* Gift Registry */
                unset($_links['downloadable_products']); /* My Downloadable Products */
                unset($_links['recurring_profiles']); /* Recurring Profiles */
                //unset($_links['billing_agreements']); /* Billing Agreements */
                unset($_links['enterprise_giftcardaccount']); /* Gift Card Link */
            ?>
            <?php foreach ($_links as $_link): ?>
                <?php $_last = ($_index++ >= $_count); ?>
                <?php if ($this->isActive($_link)): ?>
                    <li class="current<?php echo ($_last ? ' last' : '') ?>"><strong><?php echo $_link->getLabel() ?></strong></li>
                <?php else: ?>
                    <li<?php echo ($_last ? ' class="last"' : '') ?>><a href="<?php echo $_link->getUrl() ?>"><?php echo $_link->getLabel() ?></a></li>
                <?php endif; ?>
            <?php endforeach; ?>
        </ul>


But, what about - if I want to change the order and the default name of them? For instance, I want to change them from,

    Account Dashboard
    Account Information
    My Orders
    Billing Agreements
    My Product Reviews
    My Wishlist
    Newsletter Subscriptions
    My Gift Cards

to, 

    My Dashboard
    Account Information
    Billing Agreements
    My Orders
    My Reviews
    My Wishlist
    My Gift Cards
    Subscriptions

is it possible?

  [1]: http://magento.stackexchange.com/questions/10334/how-to-remove-customer-account-dashboard-links